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Let X = R and T is a topology on R and defined T = {empty set} U { (a,infinity), a is in R} U {R}. Prove that there are

Posted: Mon May 09, 2022 10:40 am
by answerhappygod
Let X = R and T is a topology on R and defined T = {empty
set} U { (a,infinity), a is in R} U {R}. Prove that there are
subsets of R that are compact (every open cover has a finite
subcover) but not closed.